Commutator subgroup

en

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Commutator subgroup

Quality:

Commutator subgroup - smallest normal subgroup by which the quotient is commutative. Article "Commutator subgroup" in English Wikipedia has 26.3 points for quality (as of November 1, 2023). The article contains 5 references and 12 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Commutator subgroup", its content was written by 75 registered users of English Wikipedia and edited by 245 registered Wikipedia users in all languages.

The article is cited 166 times in English Wikipedia and cited 661 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #906 in February 2002
  • Global: #1148 in February 2002

The highest popularity rank from 2008:

  • Local (English): #215321 in April 2013
  • Global: #269465 in November 2014

There are 17 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Commutator subgroup
26.2618
2Indonesian (id)
Subgrup komutator
25.381
3Hebrew (he)
תת-חבורת הקומוטטורים
20.4241
4Vietnamese (vi)
Nhóm con giao hoán tử
18.6527
5German (de)
Kommutatorgruppe
18.3329
6Finnish (fi)
Derivaattaryhmä
16.6437
7Russian (ru)
Коммутант
13.5108
8Japanese (ja)
交換子部分群
12.9158
9French (fr)
Groupe dérivé
12.0048
10Persian (fa)
زیرگروه جابه‌جاگر
11.5929
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Commutator subgroup" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Commutator subgroup
550 881
2Russian (ru)
Коммутант
65 386
3German (de)
Kommutatorgruppe
60 208
4French (fr)
Groupe dérivé
50 882
5Polish (pl)
Komutant
35 483
6Japanese (ja)
交換子部分群
32 049
7Chinese (zh)
换位子群
26 066
8Spanish (es)
Subgrupo conmutador
19 467
9Hebrew (he)
תת-חבורת הקומוטטורים
13 403
10Portuguese (pt)
Subgrupo comutador
8 163
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Commutator subgroup" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Commutator subgroup
5 268
2French (fr)
Groupe dérivé
518
3Russian (ru)
Коммутант
509
4Japanese (ja)
交換子部分群
364
5Chinese (zh)
换位子群
298
6German (de)
Kommutatorgruppe
241
7Spanish (es)
Subgrupo conmutador
153
8Italian (it)
Sottogruppo derivato
102
9Polish (pl)
Komutant
46
10Portuguese (pt)
Subgrupo comutador
38
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Commutator subgroup" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Commutator subgroup
75
2French (fr)
Groupe dérivé
32
3German (de)
Kommutatorgruppe
31
4Russian (ru)
Коммутант
23
5Hebrew (he)
תת-חבורת הקומוטטורים
15
6Polish (pl)
Komutant
13
7Japanese (ja)
交換子部分群
9
8Chinese (zh)
换位子群
9
9Finnish (fi)
Derivaattaryhmä
8
10Spanish (es)
Subgrupo conmutador
7
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in October 2023

Language versions of the article "Commutator subgroup" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Japanese (ja)
交換子部分群
2
2Ukrainian (uk)
Комутант
1
3German (de)
Kommutatorgruppe
0
4English (en)
Commutator subgroup
0
5Spanish (es)
Subgrupo conmutador
0
6Persian (fa)
زیرگروه جابه‌جاگر
0
7Finnish (fi)
Derivaattaryhmä
0
8French (fr)
Groupe dérivé
0
9Hebrew (he)
תת-חבורת הקומוטטורים
0
10Indonesian (id)
Subgrup komutator
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Commutator subgroup" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Commutator subgroup
166
2Chinese (zh)
换位子群
112
3French (fr)
Groupe dérivé
80
4Japanese (ja)
交換子部分群
57
5Russian (ru)
Коммутант
43
6Hebrew (he)
תת-חבורת הקומוטטורים
40
7German (de)
Kommutatorgruppe
30
8Polish (pl)
Komutant
23
9Persian (fa)
زیرگروه جابه‌جاگر
22
10Korean (ko)
교환자 부분군
22
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Kommutatorgruppe
enEnglish
Commutator subgroup
esSpanish
Subgrupo conmutador
faPersian
زیرگروه جابه‌جاگر
fiFinnish
Derivaattaryhmä
frFrench
Groupe dérivé
heHebrew
תת-חבורת הקומוטטורים
idIndonesian
Subgrup komutator
itItalian
Sottogruppo derivato
jaJapanese
交換子部分群
koKorean
교환자 부분군
plPolish
Komutant
ptPortuguese
Subgrupo comutador
ruRussian
Коммутант
ukUkrainian
Комутант
viVietnamese
Nhóm con giao hoán tử
zhChinese
换位子群

Popularity rank trends

Best Rank English:
#215321
04.2013
Global:
#269465
11.2014

AI rank trends

Best Rank English:
#906
02.2002
Global:
#1148
02.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Commutator subgroup from Wikipedia articles about Solvable group, Alternating group, Commutator, Normal subgroup and Perfect group. Whereas reading the article about Commutator subgroup people most often go to Wikipedia articles on Commutator, Perfect group, Solvable group, Normal subgroup and Characteristic subgroup.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 14 April 2024

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information